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Ghost spectral function from the spectral Dyson-Schwinger equation

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We compute the ghost spectral function in Yang-Mills theory by solving the corresponding DysonSchwinger equation for a given input gluon spectral function. The results encompass both scaling and decoupling solutions… Click to show full abstract

We compute the ghost spectral function in Yang-Mills theory by solving the corresponding DysonSchwinger equation for a given input gluon spectral function. The results encompass both scaling and decoupling solutions for the gluon propagator input. The resulting ghost spectral function displays a particle peak at vanishing momentum and a negative scattering spectrum, whose infrared and ultraviolet tails are obtained analytically. The ghost dressing function is computed in the entire complex plane, and its salient features are identified and discussed.

Keywords: function spectral; spectral dyson; ghost spectral; equation; spectral function; function

Journal Title: Physical Review D
Year Published: 2021

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